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Finding the Fourth Proportional to 6,532.65, 9,005.58 and 4,290.66

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Solution

The fourth proportional to 6,532.65, 9,005.58 and 4,290.66 is: 5,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.65 : 9,005.58 = 4,290.66 : x
  2. Step 2: Convert to fraction form
    6,532.65/9,005.58 = 4,290.66/x
  3. Step 3: Cross multiply
    6,532.65x = 9,005.58 × 4,290.66
  4. Step 4: Simplify right side
    6,532.65x = 38,639,881.88
  5. Step 5: Solve for x
    x = 38,639,881.88/6,532.65
  6. Step 6: Final answer
    x = 5,914.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.